2026-09-21T14:21:46Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/100918 2023-07-11 col_2142_5131 col_2142_14837 com_2142_5130 com_2142_14836 com_2142_234

Made available in DSpace on 2018-09-04T20:26:47Z (GMT). No. of bitstreams: 6 PERCEL-DISSERTATION-2018.pdf: 1004552 bytes, checksum: bffccde00ce59b48fcba202beda50fbc (MD5) Dissertation final draft 03-24-18.tex: 580978 bytes, checksum: b4b500d8ffa47e05d4bcc590c0360c62 (MD5) TechnicalReferences11-20-17.bib: 162919 bytes, checksum: 7128e1a4a23ace8aa1de0f4d761e461c (MD5) uiucthesis2018.cls: 17259 bytes, checksum: c442ca5c97b9b43ebe2831b32f53dbb7 (MD5) LICENSE.txt: 4207 bytes, checksum: e18e0242b9b00b6a2ff0c22dc0716513 (MD5) PROQUEST_LICENSE.txt: 4553 bytes, checksum: 65835e79655e81bbce515210593d979f (MD5) Previous issue date: 2018-04-02 Axford, Roy A. Axford, Roy A. Junge, Marius Stubbins, James Zhang, Yang Percel, Ian M. 2018-09-04T20:26:47Z 2018-09-04T20:26:47Z 2018-04-02 2018-05 This research develops a mesoscopic quantum measurement theoretic foundation for neutron transport theory in the presence of delayed fission and compound scattering processes. Specifically, we construct a quantization of the Pal-Bell equation of stochastic neutron transport theory from a quantum stochastic calculus for particle detection in quantum fields. This enables us to formulate a quantum theory of mesoscopic neutron transport physics that explicitly incorporates both transport mechanisms and resonance scattering into a single quantum stochastic process. The quantum stochastic process representation is shown to have a unique, trace-norm convergent perturbation expansion in the number of observed reaction events. This expansion result, and the proofs that lead to it, help to establish a variety of approximation methods that are applied to nuclear data assimilation and neutron thermalization problems. Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2018-08-31 without embargo terms The student, Ian Percel, accepted the attached license on 2018-03-28 at 19:41. The student, Ian Percel, submitted this Dissertation for approval on 2018-03-28 at 19:54. This Dissertation was approved for publication on 2018-04-02 at 09:34. DSpace SAF Submission Ingestion Package generated from Vireo submission #12095 on 2018-08-31 at 17:10:25 application/pdf http://hdl.handle.net/2142/100918 en Copyright 2018 Ian Percel Quantum Measurement Quantum Probability Quantum Stochastic Processes Transport Theory Neutron Thermalization A quantum measurement model of reaction-transport systems text text Nuclear, Plasma, & Rad Engr Nuclear Engineering University of Illinois at Urbana-Champaign Dissertation Ph.D.